Ivanov, I.; Imsland, Lars; Bogdanova, B. Iterative algorithms for computing the feedback Nash equilibrium point for positive systems. (English) Zbl 1362.49022 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 4, 729-737 (2017). MSC: 49N75 49N10 91A06 91A23 49M15 PDFBibTeX XMLCite \textit{I. Ivanov} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 4, 729--737 (2017; Zbl 1362.49022) Full Text: DOI Link
Ivanov, I.; Gramatikova, D. The maximal nonnegative solution to the discrete time algebraic Riccati equation. (English) Zbl 1360.93391 J. Numer. Math. Stoch. 5, No. 1, 63-71 (2013). MSC: 93C55 49N10 65F30 15A24 PDFBibTeX XMLCite \textit{I. Ivanov} and \textit{D. Gramatikova}, J. Numer. Math. Stoch. 5, No. 1, 63--71 (2013; Zbl 1360.93391) Full Text: Link
Ivanov, Ivan Improved methods to solve the stochastic Nash games for weakly coupled large-scale systems iteratively. (English) Zbl 1264.91018 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 18, No. 6, 783-798 (2011). MSC: 91A15 15A24 15A45 65F35 PDFBibTeX XMLCite \textit{I. Ivanov}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 18, No. 6, 783--798 (2011; Zbl 1264.91018) Full Text: Link
Ivanov, I. G.; Rusinova, R. I.; Lomev, B. M. Accelerated iterations for finding the soft-constrained stochastic Nash games equilibrium. (English) Zbl 1231.93116 Todorov, Michail D. (ed.) et al., Application of mathematics in technical and natural sciences. Proceedings of the 2nd international conference (AMiTaNS’10), Sozopol, Bulgaria, June 21–26, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0856-2/pbk). AIP Conference Proceedings 1301, 97-106 (2010). MSC: 93E20 91A15 49N70 49M30 PDFBibTeX XMLCite \textit{I. G. Ivanov} et al., AIP Conf. Proc. 1301, 97--106 (2010; Zbl 1231.93116) Full Text: DOI
Ivanov, Ivan; Lomev, Boyan Equilibrium in stochastic Nash games with state-dependent noise via Lyapunov type iterations. (English) Zbl 1214.91008 HERMIS-\(\mu\pi\) 11, 97-101 (2010). MSC: 91A15 PDFBibTeX XMLCite \textit{I. Ivanov} and \textit{B. Lomev}, HERMIS-\(\mu\pi\) 11, 97--101 (2010; Zbl 1214.91008)
Ivanov, Ivan Ganchev Stein iterations for the coupled discrete-time Riccati equations. (English) Zbl 1190.65066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6244-6253 (2009). Reviewer: Edgar Pereira (Covilha) MSC: 65F30 65F10 93C55 65K10 49N10 15A24 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6244--6253 (2009; Zbl 1190.65066) Full Text: DOI
Ivanov, Ivan Ganchev Iterations for solving a rational Riccati equation arising in stochastic control. (English) Zbl 1127.65025 Comput. Math. Appl. 53, No. 6, 977-988 (2007). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 65F30 93E20 15A24 65K10 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Comput. Math. Appl. 53, No. 6, 977--988 (2007; Zbl 1127.65025) Full Text: DOI
Ivanov, Ivan Ganchev Properties of the Lyapunov iteration for coupled Riccati equations in jump linear systems. (English) Zbl 1137.65339 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 599-606 (2007). MSC: 65F30 65K10 15A24 49J10 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Lect. Notes Comput. Sci. 4310, 599--606 (2007; Zbl 1137.65339) Full Text: DOI
Ivanov, Ivan G. On positive definite solutions of the family of matrix equations \(X+A^*X^{-n}A=Q\). (English) Zbl 1096.15003 J. Comput. Appl. Math. 193, No. 1, 277-301 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A45 65F30 PDFBibTeX XMLCite \textit{I. G. Ivanov}, J. Comput. Appl. Math. 193, No. 1, 277--301 (2006; Zbl 1096.15003) Full Text: DOI
Hasanov, V. I.; Ivanov, I. G. On two perturbation estimates of the extreme solutions to the equations \(X \pm A^*X^{-1}A = Q\). (English) Zbl 1087.15016 Linear Algebra Appl. 413, No. 1, 81-92 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 65H10 PDFBibTeX XMLCite \textit{V. I. Hasanov} and \textit{I. G. Ivanov}, Linear Algebra Appl. 413, No. 1, 81--92 (2006; Zbl 1087.15016) Full Text: DOI
Hasanov, Vejdi I.; Ivanov, Ivan G. On the matrix equation \(X-A^* X^{-n} A = I\). (English) Zbl 1081.65036 Appl. Math. Comput. 168, No. 2, 1340-1356 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{V. I. Hasanov} and \textit{I. G. Ivanov}, Appl. Math. Comput. 168, No. 2, 1340--1356 (2005; Zbl 1081.65036) Full Text: DOI
Ivanov, I. G. Perturbation analysis for solutions of \(X \pm A^{\ast}X^{-n} A = Q\). (English) Zbl 1076.15015 Linear Algebra Appl. 395, 313-331 (2005). Reviewer: Daniela B. Nikolova (Sofia) MSC: 15A24 15A45 65F35 PDFBibTeX XMLCite \textit{I. G. Ivanov}, Linear Algebra Appl. 395, 313--331 (2005; Zbl 1076.15015) Full Text: DOI
Ivanov, Ivan G.; Hasanov, Vejdi I.; Uhlig, Frank Improved methods and starting values to solve the matrix equations \(X\pm A^*X^{-1}A=I\) iteratively. (English) Zbl 1058.65051 Math. Comput. 74, No. 249, 263-278 (2005). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{I. G. Ivanov} et al., Math. Comput. 74, No. 249, 263--278 (2005; Zbl 1058.65051) Full Text: DOI
Ivanov, Ivan Ganchev Properties of solutions of the matrix equation \(X+A^*X^{-2^k}A=Q^*\). (English) Zbl 1339.15009 Akça, Haydar (ed.) et al., Proceedings of the international conference: 2004 – Dynamical systems and applications. Papers based on talks given at the conference, Antalya, Turkey, July 5–10, 2004. Dhahran: King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences. 408-418, electronic only (2004). MSC: 15A24 15A45 65F35 PDFBibTeX XMLCite \textit{I. G. Ivanov}, in: Proceedings of the international conference: 2004 -- Dynamical systems and applications. Papers based on talks given at the conference, Antalya, Turkey, July 5--10, 2004. Dhahran: King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences. 408--418 (2004; Zbl 1339.15009) Full Text: Link
Hassanov, Vejdi; Ivanov, Ivan Positive definite solutions of the equation \(X+ A^* X^{-n} A= I\). (English) Zbl 0978.65032 Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 377-384 (2001). MSC: 65F30 65H10 15A24 65Y20 PDFBibTeX XMLCite \textit{V. Hassanov} and \textit{I. Ivanov}, Lect. Notes Comput. Sci. 1988, 377--384 (2001; Zbl 0978.65032)
Ivanov, Ivan G.; El-Sayed, Salah M. Properties of positive definite solutions of the equation \(X+A^*X^{-2}A=I\). (English) Zbl 0935.65041 Linear Algebra Appl. 279, No. 1-3, 303-316 (1998). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{I. G. Ivanov} and \textit{S. M. El-Sayed}, Linear Algebra Appl. 279, No. 1--3, 303--316 (1998; Zbl 0935.65041) Full Text: DOI
Ivanov, Ivan G.; Petkov, Milko G. On a linear matrix equation. (Bulgarian. English summary) Zbl 0727.15007 Mathematics and education in mathematics, Proc. 19th Spring Conf., Sunny Beach/Bulg. 1990, 348-351 (1990). MSC: 15A24 PDFBibTeX XML